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Finding the Fourth Proportional to 2,512.64, 3,468.52 and 1,568.92

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Solution

The fourth proportional to 2,512.64, 3,468.52 and 1,568.92 is: 2,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.64 : 3,468.52 = 1,568.92 : x
  2. Step 2: Convert to fraction form
    2,512.64/3,468.52 = 1,568.92/x
  3. Step 3: Cross multiply
    2,512.64x = 3,468.52 × 1,568.92
  4. Step 4: Simplify right side
    2,512.64x = 5,441,830.40
  5. Step 5: Solve for x
    x = 5,441,830.40/2,512.64
  6. Step 6: Final answer
    x = 2,165.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.